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| Free vibration analysis of laminated composite plates by the meshless natural neighbour Petrov-Galerkin method |
| Received:October 05, 2017 Revised:November 12, 2017 |
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| DOI：10.7511/jslx20171005001 |
| KeyWord:meshless method natural neighbour interpolation laminated composite plates free vibration |
| Author | Institution |
| 陈莘莘 |
华东交通大学 土木建筑学院, 南昌 |
| 李鹤 |
华东交通大学 土木建筑学院, 南昌 |
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| Abstract: |
| Based on the first-order shear deformation theory,a meshless natural neighbour Petrov-Galerkin method has been developed for free vibration analysis of laminated composite plates in this paper.In the computation,only a set of randomly distributed nodes on the middle plane of the considered plate are required and the interpolation functions are constructed through these nodes.The discretized governing equations for free vibration analysis of laminated composite plates are derived by using the weighted residual method over local polygonal sub-domains in the mean surface of the plate.These polygonal sub-domains can be conveniently constructed with Delaunay tessellations.Because the constructed shape functions from the natural neighbour interpolation possess the Kronecker delta function property,the essential boundary conditions can be imposed accurately without any special techniques.The natural frequencies computed by the present meshless natural neighbour Petrov-Galerkin method for the laminated composite plates with various boundary conditions,side-to-thickness ratios,material parameters and laying angles are all satisfactory,which demonstrates that the proposed method for free vibration analysis of laminated composite plates is effective. |